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Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n)

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Date
2018-04-06
Author
Elias, Thaysa Fernanda
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Abstract
In this work we will present a new characterization of the Sobolev space W^{1,1}(\R^n) and also we give another proof of the characterization of the Sobolev space W^{1,p}(\R^n), 1<p<\infty, in terms of Poincaré inequalities. Both characterization was proved by Piotr Hajlasz in the paper "A new characterization of the Sobolev spaces" published in the journal Studia Mathematica in 2003.
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https://repositorio.ufscar.br/handle/ufscar/10178
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